Arrangements of hyperplanes and their freeness II : the Coxeter equality
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A primitive derivation and logarithmic differential forms of Coxeter arrangements
Let W be a finite irreducible real reflection group, which is a Coxeter roup. We explicitly construct a basis for the module of differential -forms with logarithmic poles along the Coxeter arrangement by sing a primitive derivation. As a consequence, we extend the Hodge iltration, indexed by nonnegative integers, into a filtration indexed by ll ...
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